The Riemann problem for a forward-backward parabolic equation
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Publication:2268959
DOI10.1016/j.physd.2009.10.006zbMath1190.35122OpenAlexW2036530660MaRDI QIDQ2268959
Brian H. Gilding, Tesei, Alberto
Publication date: 15 March 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2009.10.006
Degenerate parabolic equations (35K65) Ill-posed problems for PDEs (35R25) Quasilinear parabolic equations (35K59)
Related Items (10)
Stability results for backward heat equations with time-dependent coefficient in the Banach space \(L_p (\mathbb{R})\) ⋮ NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION ⋮ The BGK approximation of kinetic models for traffic ⋮ A model for staircase formation in fingering convection ⋮ Viscous profiles in models of collective movement with negative diffusivity ⋮ A grid function formulation of a class of ill-posed parabolic equations ⋮ Sobolev regularization of a class of forward-backward parabolic equations ⋮ Hysteresis and phase transitions in a lattice regularization of an ill-posed forward-backward diffusion equation ⋮ Two-phase entropy solutions of a forward-backward parabolic equation ⋮ Non-uniqueness results for entropy two-phase solutions of forward-backward parabolic problems with unstable phase
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